Properties of the Number 3691

Three Thousand Six Hundred Ninety-One

Basics

Value: 3690 → 3691 → 3692

Parity: odd

Prime: Yes

Previous Prime: 3677

Next Prime: 3697

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 3691

Divisors: 1, 3691

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001101011

Octal: 7153

Duodecimal: 2177

Hexadecimal: e6b

Square: 13623481

Square Root: 60.753600716336145

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(0) = 1, a(1) = 5, a(n) = 4·a(n-1) - a(n-2). A1834

Write 1,2,... in a clockwise spiral; sequence gives numbers on positive·axis. A33951

Indices in A146326 where records occur. A146345

a(2·n) = a(2·n-1) + a(2·n-2), a(2·n+1) = 2·a(2·n) + a(2·n-1); a(0) = a(1) = 1. A2531

Primes congruent to 2 mod 31. A142006

Primes from merging of 4 successive digits in decimal expansion of sqrt(2). A198164

Primes p such that x⁴¹ = 2 has no solution mod p. A59236

Rectangular array read by (upward) antidiagonals: A(n,k) = ∑_j=0..k (-1)^floor(j/2)*binomial(k-floor((j+1)/2), floor(j/2))*n^k-j, n >= 1, k >= 0. A294099

Probable primes in sequence {s_k(4)}, where s_k(4) = 4·s_k-1(4) - s_k-2(4), k >= 2, s₀(4) = 1, s₁(4) = 5. A299107

Numerators of primes-only best approximates (POBAs) to sqrt(3); see Comments. A265782